幂等元与本原幂等元在环中有非常重要的地位与作用。
Idempotents and primitive idempotents have very important station in the ring.
当有限域的特征不整除群的阶时，给出了直接写出相应的多项式环的本原幂等元的方法，从而可以直接写出所有的极小循环码。
In the case of(Char(F_q), |G|)=1, we provide a method that writing down directly all the primitive idempotents of related polynomial ring, and hence that of all the minimum cyclic codes.
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